In an examination the probability distribution of scores (X) can be approximated by normal distribution with...
In an examination the probability distribution of scores (X) can be approximated by normal distribution with mean 69.5 and standard deviation 9.3.
Suppose one has to obtain at least 55 to pass the exam. What is the probability that a randomly selected student passed the exam? [Answer to 3 decimal places]
| Tries 0/5 |
If two students are selected randomly what is the chance that both the students failed? [Answer to 3 decimal places]
| Tries 0/5 |
If only top 4% students are given an award, then what was the minimum marks required to get the award? [Answer to 1 decimal place]
Homework Answers
Add Answer to:
In an examination the probability distribution of scores
(X) can be approximated by normal distribution with...
Example 3 The scores on a midterm exam follow a normal distribution with an average of...
Example 3 The scores on a midterm exam follow a normal distribution with an average of 80.4% and a standard deviation of 10.9%. Let X represent the score of a given student on this midterm exam. 1. What is the probability that a randomly selected student scores above a 90%? 2. What is the probability that a randomly selected student scores between 80% and 90%? 3. What is the 60th percentile score for this midterm exam?
Normal Probability Distribution Instructions: Read the scenario and answer the questions below. R...
Normal Probability Distribution Instructions: Read the scenario and answer the questions below. Round al probablities and proportions to 4 dedimal places The Graduate Record Examination (GRE) is a test required for admission to many U.S. graduate schools. Students' scores on the quantitative portion of the GRE follow a normal distribution with mean 150 and standard deviation 8.8. (Source:www.ets.org). A grad school requires that students score above 160 to be admitted. 1. What proportion of combined GRE scores can be expected...
If the results of an examination have a normal distribution with a mean of 78 and...
If the results of an examination have a normal distribution with a mean of 78 and σ = 36 a) What is the probability that a person will obtain a grade higher than 72? b) What should be the minimum passing grade, if the teacher intends that only 28.1% of the students pass (percentage of the right tail)? Write your answer as XX.XX c) What must be the minimum passing grade for only 20% to pass the exam (percentage of...
Consider a multiple-choice examination with 50 questions. Each question has four possible answers. Assume that a...
Consider a multiple-choice examination with 50 questions. Each question has four possible answers. Assume that a student who has done the homework and attended lectures has a 65% chance of answering any question correctly. (Round your answers to two decimal places.) (a) A student must answer 43 or more questions correctly to obtain a grade of A. What percentage of the students who have done their homework and attended lectures will obtain a grade of A on this multiple-choice examination?...
probability and statistics
A class consists of 490 female and 510 male students. The students are classified according to their final grade in this course, as follows: Passed Did not pass Female 430 60 Male 410 100 A student is randomly selected from this class. What is the probability that the student passed the course, given that this student is a female?Female (passed = 430, failed = 60 ) Male ( passed = 410 ad failed =100)
1. Scores on a certain nationwide college entrance examination follow a normal distribution with a mean...
1. Scores on a certain nationwide college entrance examination follow a normal distribution with a mean of 500 and a standard deviation of 100. Find the probability that a student will score (a) over 650. Answer: (b) less than 459. Answer: (C) between 325 and 675. Answer: (d) If a school only admits students who score over 680, what proportion of the students pool would be eligible for admission? Answer: (e) What limit (score) would you set that makes the...
The composition scores of individuals on the ACT college entrance examination in 2019 have mean 20.8...
The composition scores of individuals on the ACT college entrance examination in 2019 have mean 20.8 and standard deviation 5.8. Use this information, answer the following questions: (Round z-score values to 2 decimal places) (a) Now suppose that the composition scores are normally distributed, what is the probability that a single student randomly chosen from all those taking the test scores higher than 22? (6 points) (b) (Ignore part a) Now suppose that we take a simple random sample of...
The exam scores on a certain Society of Actuaries (SOA) professional examination are Normally distributed with...
The exam scores on a certain Society of Actuaries (SOA)
professional examination are Normally distributed with a mean score
of μ=67% and a standard deviation of σ=5%.
(1 point) The exam scores on a certain Society of Actuaries (SOA) professonal examination are Normally distributed with a mean score of u = 67% and a standard deviation of o= 5%. (a) What is the probability that a random chosen person who is writing this SOA exam will score at most 69%?...
In Professor Friedman's economics course the correlation between the students' total scores before the final examination and their final examination scores is r-0.56.
In Professor Friedman's economics course the correlation between the students' total scores before the final examination and their final examination scores is r-0.56. The pre-exam totals for all students in the course have mean 286 and standard deviation 28, The final exam scores have mean 90 and standard deviation 9. Professor Friedman has lost Julie's final exam but knows that her total before the exam was 320, He decides to predict Julie's final exam score from her pre exam total. Question...
(1 point) The exam scores on a certain Society of Actuaries (SOA) professonal examination are Normally...
(1 point) The exam scores on a certain Society of Actuaries (SOA) professonal examination are Normally distributed with a mean score of u= 68% and a standard deviation of o = 5%. (a) What is the probability that a random chosen person who is writing this SOA exam will score at most 66%? Note, when finding/using z-values, use three decimals (use four decimals in your answer) (b) What proportion of all persons writing this SOA Exam will score between 71%...
Example 3 The scores on a midterm exam follow a normal distribution with an average of 80.4% and a standard deviation of 10.9%. Let X represent the score of a given student on this midterm exam. 1. What is the probability that a randomly selected student scores above a 90%? 2. What is the probability that a randomly selected student scores between 80% and 90%? 3. What is the 60th percentile score for this midterm exam?
Normal Probability Distribution Instructions: Read the scenario and answer the questions below. Round al probablities and proportions to 4 dedimal places The Graduate Record Examination (GRE) is a test required for admission to many U.S. graduate schools. Students' scores on the quantitative portion of the GRE follow a normal distribution with mean 150 and standard deviation 8.8. (Source:www.ets.org). A grad school requires that students score above 160 to be admitted. 1. What proportion of combined GRE scores can be expected...
1. Scores on a certain nationwide college entrance examination follow a normal distribution with a mean of 500 and a standard deviation of 100. Find the probability that a student will score (a) over 650. Answer: (b) less than 459. Answer: (C) between 325 and 675. Answer: (d) If a school only admits students who score over 680, what proportion of the students pool would be eligible for admission? Answer: (e) What limit (score) would you set that makes the...
The exam scores on a certain Society of Actuaries (SOA)
professional examination are Normally distributed with a mean score
of μ=67% and a standard deviation of σ=5%.
(1 point) The exam scores on a certain Society of Actuaries (SOA) professonal examination are Normally distributed with a mean score of u = 67% and a standard deviation of o= 5%. (a) What is the probability that a random chosen person who is writing this SOA exam will score at most 69%?...
In Professor Friedman's economics course the correlation between the students' total scores before the final examination and their final examination scores is r-0.56. The pre-exam totals for all students in the course have mean 286 and standard deviation 28, The final exam scores have mean 90 and standard deviation 9. Professor Friedman has lost Julie's final exam but knows that her total before the exam was 320, He decides to predict Julie's final exam score from her pre exam total. Question...
(1 point) The exam scores on a certain Society of Actuaries (SOA) professonal examination are Normally distributed with a mean score of u= 68% and a standard deviation of o = 5%. (a) What is the probability that a random chosen person who is writing this SOA exam will score at most 66%? Note, when finding/using z-values, use three decimals (use four decimals in your answer) (b) What proportion of all persons writing this SOA Exam will score between 71%...
Most questions answered within 3 hours.
-
The pH of a sample of water from a river is 5.0. A
sample of effluent from...
asked 9 minutes ago -
At the beginning of the period, the Fabricating Department
budgeted direct labor of $136,500 and equipment...
asked 37 minutes ago -
Please answer all
____ 28. Rent control is usually
justified on the grounds that it protects...
asked 36 minutes ago -
PARTS A-D HAVE BEEN ANSWERED. WAS TOLD TO REPOST. ONLY ANSWER
PARTS E and F.
A...
asked 54 minutes ago -
2) You are given the task of finding a representation for a
circle in a drawing...
asked 2 hours ago -
STUDY QUESTION: Does use of diet drug fen-phen
(fenfluramine-phentermine) cause valvular heart disease?
HINT: Valvular heart...
asked 1 hour ago -
1. An object weighing 40 N rests on a surface. The coefficient
of friction is 0.35....
asked 3 hours ago -
Investor company owns 35% of investee company voting stock and
accounts for the investment under the...
asked 4 hours ago -
The number of major faults on a randomly chosen 1 km stretch of
highway has a...
asked 4 hours ago -
Consider the competitive environment of Starbuck's, Progressive
Insurance, a manufacturing firm with low turnover, or a...
asked 5 hours ago -
3. Gains from trade
Consider two neighbouring island countries called Euphoria and
Contente. They each have...
asked 7 hours ago -
A business executive has the option to invest money in two
plans: Plan A guarantees that...
asked 9 hours ago